Zeitschrift für angewandte Mathematik und Physik· 2026Q1
A refined decay condition for a high-contrast sandwich plate subject to antiplane shear
- 0citations
- Q1SCImago
- 2026year
Short summary
A refined decay condition, incorporating a first-order asymptotic correction, is derived for a three-layered elastic semi-infinite strip under antiplane shear, specifically addressing high-contrast stiffness ratios.
AI-generated from the title and abstract; the full text is not read.
Key points
- A refined decay condition is derived for a three-layered elastic semi-infinite strip under antiplane shear.
- The analysis focuses on cases where the relative stiffness ratio is a small parameter.
- A first-order asymptotic correction is introduced to prevent slowly decaying boundary layers.
- The derived formula involves infinite series whose convergence is numerically analyzed.
- An example illustrating a removable singularity in the general solution is provided.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract A three-layered elastic semi-infinite strip subject to antiplane shear is considered. The relative stiffness ratio is assumed to be a small parameter. The so-called decay conditions generalising the Saint-Venant’s principle are studied. A first-order asymptotic correction to the complementary condition prohibiting slowly decaying boundary layers is derived using an asymptotic layer-wise procedure. The established refined formula involves functions of the thickness coordinate expressed through infinite series. Their convergence is analysed numerically for various values of the thickness ratio. An example of a removable singularity in the general solution is also presented.
The authors' abstract, as published at the source. Zeitschrift für angewandte Mathematik und Physik, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Computational Theory and Mathematics
Computational Theory and MathematicsComputer Science